Almost sure stability with general decay rate of neutral stochastic pantograph equations with Markovian switching

Electronic Journal of Qualitative Theory of Differential Equations

Liangjian Hu¹  Wei Mao²  Xuerong Mao³ 

[1] Department of Applied Mathematics, Donghua University, Shanghai, P.R. China;Jiangsu Second Normal University, Nanjing, P.R.China;University of Strathclyde, Glasgow, UK;

关键词: neutral stochastic pantograph equations;    markovian switching;    existence and uniqueness results;    general decay stability;   

DOI  :  10.14232/ejqtde.2019.1.52

来源: DOAJ

【 摘 要 】

This paper focuses on the general decay stability of nonlinear neutral stochastic pantograph equations with Markovian switching (NSPEwMSs). Under the local Lipschitz condition and non-linear growth condition, the existence and almost sure stability with general decay of the solution for NSPEwMSs are investigated. By means of M-matrix theory, some sufficient conditions on the general decay stability are also established for NSPEwMSs.

【 授权许可】

Unknown